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Finding the Fourth Proportional to 1,346.67, 2,020.14 and 653.72

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Solution

The fourth proportional to 1,346.67, 2,020.14 and 653.72 is: 980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.67 : 2,020.14 = 653.72 : x
  2. Step 2: Convert to fraction form
    1,346.67/2,020.14 = 653.72/x
  3. Step 3: Cross multiply
    1,346.67x = 2,020.14 × 653.72
  4. Step 4: Simplify right side
    1,346.67x = 1,320,595.82
  5. Step 5: Solve for x
    x = 1,320,595.82/1,346.67
  6. Step 6: Final answer
    x = 980.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.